105277984 has 48 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 43660800.

The previous prime is 105277967. The next prime is 105278003. The reversal of 105277984 is 489772501.

It is a super-2 number, since 2×105277984² = 22166907830208512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105277984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 637 + ... + 14524.

It is an arithmetic number, because the mean of its divisors is an integer number (5094432).

Almost surely, 2^105277984 is an apocalyptic number.

105277984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105277984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

105277984 is an abundant number, since it is smaller than the sum of its proper divisors (139254752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105277984 is a wasteful number, since it uses less digits than its factorization.

105277984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15209 (or 15201 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 43.

The square root of 105277984 is about 10260.5060304061. The cubic root of 105277984 is about 472.1853624153.

The spelling of 105277984 in words is "one hundred five million, two hundred seventy-seven thousand, nine hundred eighty-four".